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Use of asymptotic methods in vibration analysisThe derivation of dynamic differential equations, suitable for studying the vibrations of rotating, curved, slender structures was examined, and the Hamiltonian procedure was advocated for this purpose. Various reductions of the full system are displayed, which govern the vibrating troposkien when various order of magnitude restrictions are placed on important parameters. Possible advantages of the WKB asymptotic method for solving these classes of problems are discussed. A special case of this method is used illustratively to calculate eigenvalues and eigenfunctions for a flat turbine blade with small flexural stiffness.
Document ID
19780011677
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Ashley, H. (Stanford Univ. CA, United States)
Date Acquired
August 9, 2013
Publication Date
January 1, 1978
Publication Information
Publication: NASA. Lewis Res. Center Wind Turbine Structural Dyn.
Subject Category
Energy Production And Conversion
Accession Number
78N19620
Funding Number(s)
CONTRACT_GRANT: AF-AFOSR-2712-74
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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